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Question

Write the value of (xaxb)a+b×(xbxc)b+c×(xcxa)c+a

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Solution

As we know that
aman=amn and also (a+b)(ab)=a2b2
(xaxb)a+b×(xbxc)b+c×(xcxa)c+a=(xab)a+b×(xbc)b+c×(xca)c+a=xa2b2×xb2c2×xc2a2=xa2b2+b2c2+c2a2=x0=1

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